TSTP Solution File: SYN598-1 by Prover9---1109a

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : SYN598-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 11:21:19 EDT 2022

% Result   : Unsatisfiable 0.44s 0.99s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN598-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 17:08:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.44/0.99  ============================== Prover9 ===============================
% 0.44/0.99  Prover9 (32) version 2009-11A, November 2009.
% 0.44/0.99  Process 3603 was started by sandbox2 on n008.cluster.edu,
% 0.44/0.99  Mon Jul 11 17:08:24 2022
% 0.44/0.99  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_3450_n008.cluster.edu".
% 0.44/0.99  ============================== end of head ===========================
% 0.44/0.99  
% 0.44/0.99  ============================== INPUT =================================
% 0.44/0.99  
% 0.44/0.99  % Reading from file /tmp/Prover9_3450_n008.cluster.edu
% 0.44/0.99  
% 0.44/0.99  set(prolog_style_variables).
% 0.44/0.99  set(auto2).
% 0.44/0.99      % set(auto2) -> set(auto).
% 0.44/0.99      % set(auto) -> set(auto_inference).
% 0.44/0.99      % set(auto) -> set(auto_setup).
% 0.44/0.99      % set(auto_setup) -> set(predicate_elim).
% 0.44/0.99      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/0.99      % set(auto) -> set(auto_limits).
% 0.44/0.99      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/0.99      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/0.99      % set(auto) -> set(auto_denials).
% 0.44/0.99      % set(auto) -> set(auto_process).
% 0.44/0.99      % set(auto2) -> assign(new_constants, 1).
% 0.44/0.99      % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/0.99      % set(auto2) -> assign(max_weight, "200.000").
% 0.44/0.99      % set(auto2) -> assign(max_hours, 1).
% 0.44/0.99      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/0.99      % set(auto2) -> assign(max_seconds, 0).
% 0.44/0.99      % set(auto2) -> assign(max_minutes, 5).
% 0.44/0.99      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/0.99      % set(auto2) -> set(sort_initial_sos).
% 0.44/0.99      % set(auto2) -> assign(sos_limit, -1).
% 0.44/0.99      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/0.99      % set(auto2) -> assign(max_megs, 400).
% 0.44/0.99      % set(auto2) -> assign(stats, some).
% 0.44/0.99      % set(auto2) -> clear(echo_input).
% 0.44/0.99      % set(auto2) -> set(quiet).
% 0.44/0.99      % set(auto2) -> clear(print_initial_clauses).
% 0.44/0.99      % set(auto2) -> clear(print_given).
% 0.44/0.99  assign(lrs_ticks,-1).
% 0.44/0.99  assign(sos_limit,10000).
% 0.44/0.99  assign(order,kbo).
% 0.44/0.99  set(lex_order_vars).
% 0.44/0.99  clear(print_given).
% 0.44/0.99  
% 0.44/0.99  % formulas(sos).  % not echoed (29 formulas)
% 0.44/0.99  
% 0.44/0.99  ============================== end of input ==========================
% 0.44/0.99  
% 0.44/0.99  % From the command line: assign(max_seconds, 300).
% 0.44/0.99  
% 0.44/0.99  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/0.99  
% 0.44/0.99  % Formulas that are not ordinary clauses:
% 0.44/0.99  
% 0.44/0.99  ============================== end of process non-clausal formulas ===
% 0.44/0.99  
% 0.44/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/0.99  
% 0.44/0.99  ============================== PREDICATE ELIMINATION =================
% 0.44/0.99  
% 0.44/0.99  ============================== end predicate elimination =============
% 0.44/0.99  
% 0.44/0.99  Auto_denials:
% 0.44/0.99    % copying label not_p19_27 to answer in negative clause
% 0.44/0.99  
% 0.44/0.99  Term ordering decisions:
% 0.44/0.99  Function symbol KB weights:  c23=1. c21=1. c22=1. f11=1. f10=1. f13=1. f12=1. f14=1. f15=1. f4=1. f6=1. f8=1. f9=1. f16=1.
% 0.44/0.99  
% 0.44/0.99  ============================== end of process initial clauses ========
% 0.44/0.99  
% 0.44/0.99  ============================== CLAUSES FOR SEARCH ====================
% 0.44/0.99  
% 0.44/0.99  ============================== end of clauses for search =============
% 0.44/0.99  
% 0.44/0.99  ============================== SEARCH ================================
% 0.44/0.99  
% 0.44/0.99  % Starting search at 0.01 seconds.
% 0.44/0.99  
% 0.44/0.99  ============================== PROOF =================================
% 0.44/0.99  % SZS status Unsatisfiable
% 0.44/0.99  % SZS output start Refutation
% 0.44/0.99  
% 0.44/0.99  % Proof 1 at 0.02 (+ 0.00) seconds: not_p19_27.
% 0.44/0.99  % Length of proof is 15.
% 0.44/0.99  % Level of proof is 5.
% 0.44/0.99  % Maximum clause weight is 33.000.
% 0.44/0.99  % Given clauses 51.
% 0.44/0.99  
% 0.44/0.99  2 p18(c21) # label(c21_is_p18_2) # label(negated_conjecture).  [assumption].
% 0.44/0.99  3 p7(A,A) # label(p7_3) # label(negated_conjecture).  [assumption].
% 0.44/0.99  7 p3(f4(f6(c21)),c22) # label(p3_7) # label(negated_conjecture).  [assumption].
% 0.44/0.99  8 -p19(f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) # label(not_p19_27) # label(negated_conjecture) # answer(not_p19_27).  [assumption].
% 0.44/0.99  24 p19(A,B) | -p7(C,A) | -p7(D,B) | -p19(C,D) # label(p19_23) # label(negated_conjecture).  [assumption].
% 0.44/0.99  26 p7(f11(A,B),f11(C,D)) | -p3(B,D) | -p7(A,C) # label(p7_25) # label(negated_conjecture).  [assumption].
% 0.44/0.99  27 p7(f10(A,B),f10(C,D)) | -p7(B,D) | -p7(A,C) # label(p7_26) # label(negated_conjecture).  [assumption].
% 0.44/0.99  28 p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(A))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(A))) | -p18(A) # label(p19_28) # label(negated_conjecture).  [assumption].
% 0.44/0.99  36 -p7(A,f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) | -p7(B,f8(f9(c21))) | -p19(A,B) # answer(not_p19_27).  [resolve(24,a,8,a)].
% 0.44/0.99  37 p7(f11(A,f4(f6(c21))),f11(A,c22)).  [ur(26,b,7,a,c,3,a)].
% 0.44/0.99  38 p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))).  [ur(28,b,2,a)].
% 0.44/0.99  52 -p7(A,f10(f11(f14(f12(f15(f13(c23)))),c22),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23))))))))))) | -p19(A,f8(f9(c21))) # answer(not_p19_27).  [resolve(36,b,3,a)].
% 0.44/0.99  58 -p19(f10(A,B),f8(f9(c21))) | -p7(B,f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))) | -p7(A,f11(f14(f12(f15(f13(c23)))),c22)) # answer(not_p19_27).  [resolve(52,a,27,a)].
% 0.44/0.99  189 -p19(f10(f11(f14(f12(f15(f13(c23)))),f4(f6(c21))),f11(f14(f12(f15(f13(c23)))),f12(f13(f13(f13(f13(f13(f13(f13(c23)))))))))),f8(f9(c21))) # answer(not_p19_27).  [ur(58,b,3,a,c,37,a)].
% 0.44/0.99  190 $F # answer(not_p19_27).  [resolve(189,a,38,a)].
% 0.44/0.99  
% 0.44/0.99  % SZS output end Refutation
% 0.44/0.99  ============================== end of proof ==========================
% 0.44/0.99  
% 0.44/0.99  ============================== STATISTICS ============================
% 0.44/0.99  
% 0.44/0.99  Given=51. Generated=279. Kept=189. proofs=1.
% 0.44/0.99  Usable=51. Sos=128. Demods=0. Limbo=9, Disabled=29. Hints=0.
% 0.44/0.99  Megabytes=0.28.
% 0.44/0.99  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.44/0.99  
% 0.44/0.99  ============================== end of statistics =====================
% 0.44/0.99  
% 0.44/0.99  ============================== end of search =========================
% 0.44/0.99  
% 0.44/0.99  THEOREM PROVED
% 0.44/0.99  % SZS status Unsatisfiable
% 0.44/0.99  
% 0.44/0.99  Exiting with 1 proof.
% 0.44/0.99  
% 0.44/0.99  Process 3603 exit (max_proofs) Mon Jul 11 17:08:24 2022
% 0.44/0.99  Prover9 interrupted
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